SOLUTION OF THE HELMHOLTZ EIGENVALUE PROBLEM VIA THE BOUNDARY ELEMENT METHOD

被引：50
作者：
KIRKUP, SM
AMINI, S
机构：
[1] Department of Mathematics and Computer Science, University of Salford, Salford
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1993年 / 36卷 / 02期
关键词：
D O I：
10.1002/nme.1620360210
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The numerical solution of the Helmholtz eigenvalue problem is considered. The application of the boundary element method reduces it to that of a non-linear eigenvalue problem. Through a polynomial approximation with respect to the wavenumber, the non-linear eigenvalue problem is reduced to a standard generalized eigenvalue problem. The method is applied to the test problems of a three-dimensional sphere with an axisymmetric boundary condition and a two-dimensional square.
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页码：321 / 330
页数：10
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